2) Consider a discrete output perceptron with 3 inputs as given in the following figure with weights all set to a value of +1. Perceptron computes its output as below: If sgn(x1+x2+x3)={1,1,thencategory1thencategory2 Following is the list of patterns and their class memberships: {P0(1,1,1),P1(1,1,1),P2(1,1,1),P3(1,1,1),P4(1,1,1),P5(1,1,1),P6(1,1,1),P7(1,1,1)} Class 1: P3,P5,P6, and P7 Class 2: P0,P1,P2, and P4 (a) Using the 3-dimensional coordinate system given below draw the separating plane for these two classes given the weights and the computation implemented by the perceptron. Label the patterns on the corners of the cube with class membership shown. (b) Are these two classes linearly separable? Explain your